Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
49686bl |
Isogeny class |
Conductor |
49686 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
38384640 |
Modular degree for the optimal curve |
Δ |
-4.2307938541032E+26 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- -1 13+ -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-832108177,9291628742372] |
[a1,a2,a3,a4,a6] |
Generators |
[6150:2096158:1] |
Generators of the group modulo torsion |
j |
-112205650221491190337/745029571313664 |
j-invariant |
L |
6.6219787295308 |
L(r)(E,1)/r! |
Ω |
0.053339140876583 |
Real period |
R |
2.2169389724991 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000108 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7098d1 3822bg1 |
Quadratic twists by: -7 13 |